
2013Huber, Michael EtAl  Teaching Differential Equations With Modeling  Notes
11 Sep 2017  Contributor(s):: Brian Winkel
2013HuberEtAlTeaching Differential Equations With Modeling. Notes from JMM 2013 Minicourse.From the preface, “Mathematical modeling has been an important part of our differential equations courses for many years and we appreciate the opportunity to share our passion and ideas with...

2010Soetaert, Karline, Thoas Petzoldt, R. Woodrow Setzer  Solving Differential Equations in R.
11 Sep 2017  Contributor(s):: Brian Winkel
Soetaert, Karline, Thoas Petzoldt, R. Woodrow Setzer. 2010. Solving Differential Equations in R. The R Journal. 2(2): 515.See https://journal.rproject.org/archive/2010/RJ2010013/RJ2010013.pdf .Abstract: Although R is still predominantly applied for statistical analysis and...

2015Sayama, U.  Intro to Modeling and Analysis of Complex Systems
10 Sep 2017  Contributor(s):: Brian Winkel
Sayama, U. 2015. Intro to Modeling and Analysis of Complex Systems. Geneseo NY: Open SUNY Textbooks. 498 pp.Available at https://textbooks.opensuny.org/introductiontothemodelingandanalysisofcomplexsystems/ . Accessed 10 September 2017.From web site, “Introduction to the...

2012Bourne, Murray  Modeling fish stocks.
10 Sep 2017  Contributor(s):: Brian Winkel
Bourne, Murray. 2012. BourneModeling fish stocks.https://www.intmath.com/blog/mathematics/modelingfishstocks7377 . Accessed 10 September 2017.Discusses many models of harvesting and consequences.Keywords: logistic, harvest, differential equation, model, first order,...

2013Slavik, Antonin  Mixing Problems with Many Tanks.
10 Sep 2017  Contributor(s):: Brian Winkel
Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly. 120: 806821.See https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthly.120.09.806 .Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix...

2008Padir, Taskin, Kimberly Muller, Collett Coullard  Teaching Differential Equations in a Diverse Classroom.
10 Sep 2017  Contributor(s):: Brian Winkel
Padir, Taskin, Kimberly Muller, Collett Coullard. 2008. Teaching Differential Equations in a Diverse Classroom. ASEE Conference. 13 pp.See https://peer.asee.org/teachingdifferentialequationsinadiverseclassroom.pdf .Diverse means different kinds of engineering majors. The...

2017Sousa, James  mathispower4u Differential Equations Videos
10 Sep 2017  Contributor(s):: Brian Winkel
Sousa, James. mathispower4u Differential Equations Videos. http://www.mathispower4u.com/diffeq.php . Accessed 10 September 2017. Here is a list of just the Introduction to Differential Equations videosIntroduction to Differential Equation TerminologyDifferential Equations:...

2011Yuan, Yhe, Stephan V. Joubert, Ying Hal  Real life applications of ODEs for Undergraduates
10 Sep 2017  Contributor(s):: Brian Winkel
Yuan, Yhe, Stephan V. Joubert, Ying Hal. 2011. Real life applications of ODEs for UndergraduatesSee https://lupucezar.files.wordpress.com/2011/02/yuan.pdf . Accessed 10 September 2017.Abstract: This study introduces reallife mathematical theories and models of international...

2017Zivaripiran, Hossein  Parameter Estimation of Mathematical Models Described by Differential Equations.
10 Sep 2017   Contributor(s):: Brian Winkel
Zivaripiran, Hossein. Parameter Estimation of Mathematical Models Described by Differential Equations. PowerPoint. 32 Slides. See  http://www.cs.toronto.edu/~hzp/index_files/presentations/ST2hossein.pdf . Accessed 10 September 2017. Statistical attempts at parameter estimation given...

2014Bozkurt, Fatma and Fatma Peker  Mathematical modelling of HIV epidemic and stability analysis.
10 Sep 2017   Contributor(s):: Brian Winkel
Bozkurt, Fatma and Fatma Peker. 2014. Mathematical modelling of HIV epidemic and stability analysis. Advances in Difference Equations. 95.See http://www.advancesindifferenceequations.com/content/2014/1/95 . Accessed 10 September 2017.Abstract: A nonlinear mathematical...

2009EdelsteinKeshet, Leah  Chapter 11 – Differential Equations. Notes.
10 Sep 2017   Contributor(s):: Brian Winkel
EdelsteinKeshet, Leah. 2009. Chapter 11 – Differential Equations. See http://ugrad.math.ubc.ca/coursedoc/math103/keshet.notes/chapter11Notes.pdf . Accessed 10 September 2017.Thorough and very readable material on many topics in differential equation, e.g.,...

2007Steffensen, Mogen  Differential Equations in Finance and Life Insurance.
10 Sep 2017   Contributor(s):: Brian Winkel
Steffensen, Mogen. 2007. Differential Equations in Finance and Life Insurance. In: Jensen, B.S. and Palokangas, T. (2007) Stochastic Economic Dynamics. CBS press.From the opening of the paper,“The mathematics of finance and the mathematics of life insurance were always...

1994Yamaguti, M.  Discrete Models in Social Sciences.
10 Sep 2017   Contributor(s):: Brian Winkel
Yamaguti, M. 1994. Discrete Models in Social Sciences. Computers Math. Applic. 28(1012): 263267. See https://www.sciencedirect.com/science/article/pii/0898122194001960 .Abstract: Behaviors of solutions of a differential equation and its discretization sometimes...

2011Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint Slides.
10 Sep 2017   Contributor(s):: Brian Winkel
Barbarossa, Maria.. 2011. Delay models for cancer and tumor growth. PowerPoint. 81 slides. From the slides: Background: Delay Equations Ordinary vs. Delay Differential Equations Applications in Biology ...

2017Unknown  Simplified MultiStorey Shear Building Model
10 Sep 2017   Contributor(s):: Brian Winkel
Simplified MultiStorey Shear Buildoing Model. Notes. 22 pp.The opening paragraphs to give a flavor of the presentation style,Assumptions in shear building modelThe simplest possible multidegree of freedom idealisation is to assume that only the x and y horizontal sway motions and the z...

2012Koch, Gilbert  Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation.
10 Sep 2017   Contributor(s):: Brian Winkel
Koch, Gilbert. 2012. Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation. 118 pp.See http://www.math.unikonstanz.de/numerik/personen/koch/papers/Diss_Koch_Final.pdf .Abstract: Mathematical modeling of pharmacokinetics / pharmacodynamics (PKPD)...

2005Howard P.  Modeling with ODE. Notes.
10 Sep 2017   Contributor(s):: Brian Winkel
Howard P. 2005. Modeling with ODE. Notes. 48 pp.See https://www.math.tamu.edu/~phoward/m412/modode.pdf .Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion,...

2015Just, Winfried and Hannah Callender  Differential equation models of disease transmission. Paper.
10 Sep 2017   Contributor(s):: Brian Winkel
Just, Winfried and Hannah Callender. 2015. Differential equation models of disease transmission. Paper. 16 pp.See https://people.ohio.edu/just/IONTW/ModuleDE.pdf .The work give full analyses of standard epidemic model and then shows how to do it with differential...

2017Unknown  Epidemic ModelsPresentation
10 Sep 2017   Contributor(s):: Brian Winkel
Epidemic ModelsPresentation PowerPoint. 16 slide. Overview of many epidemics and their models as well as graphical data and comparison of model and data plots. Keywords: differential equation, model, epidemic, SIR, boarding school, data, parameter estimation, Bombay plague, Eyam plague,...

2017MBW PredatorPrey Models With Delay And Prey Harvesting
10 Sep 2017   Contributor(s):: Brian Winkel
MBW PredatorPrey Models With Delay And Prey Harvesting. https://mathbio.colorado.edu/index.php/MBW:Predatorprey_models_with_delay_and_prey_harvesting . Accessed 10 September 2017.This is a very nice exposition, no problems or data offered, of a biological system and is part of a larger...